Bergman kernel function for Hartogs domains over bounded homogeneous domains

DOI10.1007/s12220-016-9737-4zbMath1376.32004OpenAlexW2519255516MaRDI QIDQ2012974

Atsushi Yamamori, Hideyuki Ishi, Jong-Do Park

Publication date: 3 August 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-016-9737-4

zbMATH Keywords

Bergman kernelbounded homogeneous domainsHartogs domainsSiegel domain

Mathematics Subject Classification ID

Homogeneous complex manifolds (32M10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

The Bergman kernel and projection on the Fock–Bargmann–Hartogs domain ⋮ Unnamed Item ⋮ The zeros of the Bergman kernel for some Reinhardt domains ⋮ Biholomorphisms between Hartogs domains over homogeneous Siegel domains ⋮ Submanifolds of some Hartogs domain and the complex Euclidean space ⋮ Unnamed Item ⋮ The explicit forms and zeros of the Bergman kernel for 3-dimensional Hartogs triangles ⋮ On the non-existence of common submanifolds of Kähler manifolds and complex space forms ⋮ The Bergman kernel function for intersections of some cylindrical domains and Lauricella's hypergeometric function ⋮ Boundary behavior of the Bergman kernel for generalized Fock-Bargmann-Hartogs domains ⋮ Symplectic geometry of Cartan-Hartogs domains ⋮ Umehara algebra and complex submanifolds of indefinite complex space forms

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